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Finding the Fourth Proportional to 223,167.63, 307,970.38 and 121,192.38

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Solution

The fourth proportional to 223,167.63, 307,970.38 and 121,192.38 is: 167,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,167.63 : 307,970.38 = 121,192.38 : x
  2. Step 2: Convert to fraction form
    223,167.63/307,970.38 = 121,192.38/x
  3. Step 3: Cross multiply
    223,167.63x = 307,970.38 × 121,192.38
  4. Step 4: Simplify right side
    223,167.63x = 37,323,662,266.17
  5. Step 5: Solve for x
    x = 37,323,662,266.17/223,167.63
  6. Step 6: Final answer
    x = 167,244.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.